Periodic subgroups of projective linear groups in positive characteristic.
type: Item
instance of: scholarly article
title: Periodic subgroups of projective linear groups in positive characteristic.
zbMATH Open document ID: 1159.20026
author: A. S. Detinko
author: D. L. Flannery
published in: Central European Journal of Mathematics
publication date: 2008-09-12T00:00:00Z
review text: The authors classify the maximal irreducible periodic subgroup of \(\text{PGL}(q,\mathbb{F})\) where \(\mathbb{F}\) is a field of positive characteristic \(p\) transcendental over its prime subfield, \(q\neq p\) is prime, and \(\mathbb{F}^\times\) has an element of order \(q\). This classification problem is more tractable than a similar problem in characteristic zero.
Mathematics Subject Classification ID: 20H20
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20E28
zbMATH DE Number: 5343477
zbMATH Keywords: linear groups over finite fields
zbMATH Keywords: maximal irreducible periodic subgroups
reviewed by: L. N. Vaserstein
describes a project that uses: Nilmat
MaRDI profile type: Publication
full work available at URL: s11533-008-0033-9
OpenAlex ID: W2017911060
cites work: Finite irreducible monomial groups of small prime degree
cites work: Q4246524
cites work: Q4840988
cites work: On Deciding Finiteness for Matrix Groups over Fields of Positive Characteristic
cites work: Finite Primitive Linear Groups of Prime Degree
cites work: Finite imprimitive linear groups of prime degree.
cites work: Locally nilpotent linear groups
cites work: Q4871631
cites work: Q4170903
cites work: Q3786639
cites work: Q3688554
cites work: Q3688555
cites work: Q4078234
cites work: Q5676405
cites work: Representations of locally finite groups
cites work: Q5665358
DOI: 10.2478/S11533-008-0033-9
Recommended article: On the periodic groups saturated with projective linear groups.
Recommended article: Q3688555
Recommended article: Periodic normal subgroups of linear groups
Recommended article: Characterizations of Simple Linear Groups in the Class of Periodic Groups
Recommended article: Sous-groupes periodiques d'un groupe stable
Recommended article: Periodic Linear Groups with the Weak Chain Conditions on Subgroups of Infinite Central Dimension
Recommended article: On periodic subgroups of factorized groups
Recommended article: Periodic-by-nilpotent linear groups.
Recommended article: Confined subgroups in periodic simple finitary linear groups
Recommended article: Periodic simple groups of finitary linear transformations.
description: scientific article; zbMATH DE number 5343477